Consider a one dimensional crystal with a total of six

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Consider a one dimensional crystal with a total of six atoms, each with mass m, seperated by a lattice constant of 0.5 nm, with the two end atoms fixed.
1. How many allowed modes are there?
2. What is the ratio of the maxium allowed wavelength to the minimum allowed wavelength?
3. Calculate the relative displacement of each atom for a vibration with wavelength of 5/3 nm.

Reference no: EM13346153

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